Exact black hole degeneracies and the topological string | Zendy

David Shih | Zendy; Xi Yin | Zendy

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Exact black hole degeneracies and the topological string

Author(s) -

David Shih,

Xi Yin

Publication year - 2006

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2006/04/034

Subject(s) - physics , conjecture , partition function (quantum field theory) , topological string theory , string theory , black hole (networking) , string (physics) , string field theory , non critical string theory , topology (electrical circuits) , theoretical physics , mathematical physics , relationship between string theory and quantum field theory , pure mathematics , quantum mechanics , mathematics , combinatorics , quantum gravity , computer science , computer network , routing protocol , routing (electronic design automation) , quantum , link state routing protocol

Motivated by the recent conjecture of Ooguri, Strominger and Vafa, we computethe semi-canonical partition function of BPS black holes in N=4 and N=8 stringtheories, to all orders in perturbation theory. Not only are the black holepartition functions surprisingly simple; they capture the full topologicalstring amplitudes, as expected from the OSV conjecture. The agreement is notperfect, however, as there are differences between the black hole andtopological string partition functions even at the perturbative level. Wepropose a minimal modification of the OSV conjecture, in which thesedifferences are understood as a nontrivial measure factor for the topologicalstring.Comment: 24 page

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